121Chapter 52.Sample answer:3.Sample answer: An altitude and angle bisector ofa triangle are the same segment in an equilateraltriangle.4.Find an equation of the perpendicular bisector of AB.The slope of ABis 16, so the slope of theperpendicular bisector is 6. The midpoint of ABis 0,52.yy1¬m(xx1)y52¬6(x0)y52¬6xy¬6x52Find an equation of the perpendicular bisector ofBC. The slope of BCis 3, so the slope of theperpendicular bisector of BCis 13. The midpointof BCis (2,1).yy1¬m(xx1)y(1)¬13(x2)y1¬13x23y¬13x13Solve a system of equations to find the point ofintersection of the perpendicular bisectors.Find x.y¬6x5213x13¬6x522x2¬36x1517¬38x1378¬xReplace xwith 1378in one of the equations to find the y-coordinate.y¬6137852y¬378The coordinates of the circumcenter of ABCare 1378,378.5. Given:XYXZYMand ZNare medians.Prove:YMZNProof:6.Find x.TQ¬TR2x¬8x¬4Find y.PT¬TR3y1¬83y¬9y¬3Find z.Line bisects PR, so z47, or z3.Pages 243–245 Practice and Apply
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